Nonlinear Regularization of Inverse Problems for Linear Homogeneous Transforms by Stabilized Hard Thresholding
- 作者: Shestakov O.V.1,2
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隶属关系:
- Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
- Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- 期: 卷 234, 编号 6 (2018)
- 页面: 780-785
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242001
- DOI: https://doi.org/10.1007/s10958-018-4044-1
- ID: 242001
如何引用文章
详细
In this paper we consider the problem of inverting linear homogeneous transforms by Vaguelette–Wavelet decomposition and stabilized hard thresholding of noisy wavelet coefficients. We also prove asymptotic normality and strong consistency of the mean-square risk estimate for this method.
作者简介
O. Shestakov
Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University; Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: oshestakov@cs.msu.su
俄罗斯联邦, Moscow; Moscow
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